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Finding the Fourth Proportional to 70,144, 96,801.60 and 40,336

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Solution

The fourth proportional to 70,144, 96,801.60 and 40,336 is: 55,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,144 : 96,801.60 = 40,336 : x
  2. Step 2: Convert to fraction form
    70,144/96,801.60 = 40,336/x
  3. Step 3: Cross multiply
    70,144x = 96,801.60 × 40,336
  4. Step 4: Simplify right side
    70,144x = 3,904,589,337.60
  5. Step 5: Solve for x
    x = 3,904,589,337.60/70,144
  6. Step 6: Final answer
    x = 55,665.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.